Question

Compute Mean deviation and its coefficient by mean from the data given below:

X

210

220

225

225

225

240

250

270

280

Answer 1

Sr. No	Values (X)	Deviation from Mean $\left|d_{\overline{X}}\right|=\left|X-\overline{X}\right|$
1	210	28
2	220	18
3	225	13
4	225	13
5	225	13
6	235	3
7	240	2
8	250	12
9	270	32
10	280	42
N=10	ΣX = 2380	Σ$d\overline{{}_X}$ = 176

$$\begin{gathered} Mean,\overline{X}=\frac{\Sigma X}{N}=\frac{2380}{10}=238 \\ Thus,calculatedeviationofthevaluesfrom238 \\ \mathrm{Mean}\mathrm{deviation}\mathrm{from}\mathrm{Mean}\left(M{D}_{\overline{X}}\right)=\frac{\Sigma d_{\overline{X}}}{\mathrm{N}}=\frac{176}{10}=17.6 \\ \mathrm{Coefficient}\mathrm{of}\mathrm{Mean}\mathrm{deviation}=\frac{M{D}_{\overline{X}}}{\overline{X}}=\frac{17.6}{238}=0.074 \end{gathered}$$